find any points of discontinuity for the rational function y=(x+6)(x+2)(x+8)/(x+9)(x+7)
To find any points of discontinuity for the rational function y = (x+6)(x+2)(x+8)/(x+9)(x+7), we need to find the values of x for which the function is not defined.
The function is not defined when the denominator is equal to zero because division by zero is undefined. Therefore, we need to find the values of x that make either (x+9) or (x+7) equal to zero.
Setting (x+9) equal to zero gives us x = -9.
Setting (x+7) equal to zero gives us x = -7.
Therefore, the points x = -9 and x = -7 are points of discontinuity for the rational function.